How did B. Riemann find the first three non-trivial zeros of the zeta function, how did he calculate that $s = 1/2 + it$?

Asked Jul 01 '21 at 10:10

Active Jul 01 '21 at 10:23

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I followed this question, and it is simply the curiosity that drives me to learn the process of counting... However, all I found was that it was calculated using the Riemann-Siegel formula, and I could not find the original study... Could someone help me with this, which I would like to thank with deep gratitude! :D

edited Jul 01 '21 at 10:23

Infinity_hunter

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asked Jul 01 '21 at 10:10

Arthur Schopenhauer

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See also this post, which discusses the Riemann-Siegel formula, but also other methods. I suppose you have Riemann's (short) paper? What is he writing? – Dietrich Burde Jul 01 '21 at 10:33
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The Book "Riemann's Zeta Function" by H. M. Edwards gives a really good account of the methods and tools used by Riemann to investigate the Zeta function. – LurchiDerLurch Jul 01 '21 at 10:35

How did B. Riemann find the first three non-trivial zeros of the zeta function, how did he calculate that $s = 1/2 + it$?

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